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In this paper we propose a new approach for tomographic reconstruction with spatially varying regularization parameter. Our work is based on the SA-TV image restoration model proposed in [3] where an automated parameter selection rule for…

Numerical Analysis · Mathematics 2018-11-27 Yiqiu Dong , Carola-Bibiane Schönlieb

The optimal control of a mechanical system is of crucial importance in many realms. Typical examples are the determination of a time-minimal path in vehicle dynamics, a minimal energy trajectory in space mission design, or optimal motion…

Optimization and Control · Mathematics 2008-10-09 S. Ober-Bloebaum , O. Junge , J. E. Marsden

Model-based computational elasticity imaging of tissues can be posed as solving an inverse problem over finite elements spanning the displacement image. As most existing quasi-static elastography methods count on deterministic formulations…

Image and Video Processing · Electrical Eng. & Systems 2020-10-22 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

In cardiac CINE, motion-compensated MR reconstruction (MCMR) is an effective approach to address highly undersampled acquisitions by incorporating motion information between frames. In this work, we propose a novel perspective for…

Image and Video Processing · Electrical Eng. & Systems 2024-08-19 Jiazhen Pan , Wenqi Huang , Daniel Rueckert , Thomas Küstner , Kerstin Hammernik

In cardiac magnetic resonance (CMR) imaging, a 3D high-resolution segmentation of the heart is essential for detailed description of its anatomical structures. However, due to the limit of acquisition duration and respiratory/cardiac…

Image and Video Processing · Electrical Eng. & Systems 2021-07-09 Shuo Wang , Chen Qin , Nicolo Savioli , Chen Chen , Declan O'Regan , Stuart Cook , Yike Guo , Daniel Rueckert , Wenjia Bai

We propose to learn a probabilistic motion model from a sequence of images. Besides spatio-temporal registration, our method offers to predict motion from a limited number of frames, useful for temporal super-resolution. The model is based…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Julian Krebs , Tommaso Mansi , Nicholas Ayache , Hervé Delingette

With the increasing use of surgical robots in clinical practice, enhancing their ability to process multimodal medical images has become a key research challenge. Although traditional medical image fusion methods have made progress in…

Computer Vision and Pattern Recognition · Computer Science 2025-04-30 Qinhua Xie , Hao Tang

Turbulence-degraded image frames are distorted by both turbulent deformations and space-time-varying blurs. To suppress these effects, we propose a multi-frame reconstruction scheme to recover a latent image from the observed image…

Computer Vision and Pattern Recognition · Computer Science 2017-12-12 Chun Pong Lau , Yu Hin Lai , Lok Ming Lui

Cardiac motion estimation is an important diagnostic tool to detect heart diseases and it has been explored with modalities such as MRI and conventional ultrasound (US) sequences. US cardiac motion estimation still presents challenges…

Computer Vision and Pattern Recognition · Computer Science 2017-04-26 Angelica I. Aviles , Thomas Widlak , Alicia Casals , Maartje M. Nillesen , Habib Ammari

To develop an efficient motion-compensated reconstruction technique for free-breathing cardiac magnetic resonance imaging (MRI) that allows high-quality images to be reconstructed from multiple undersampled single-shot acquisitions. The…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Aurelien Bustin , Anne Menini , Martin A. Janich , Darius Burschka , Jacques Felblinger , Anja C. S. Brau , Freddy Odille

We present a novel approach named OmniControl for incorporating flexible spatial control signals into a text-conditioned human motion generation model based on the diffusion process. Unlike previous methods that can only control the pelvis…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Yiming Xie , Varun Jampani , Lei Zhong , Deqing Sun , Huaizu Jiang

Motion information from 4D medical imaging offers critical insights into dynamic changes in patient anatomy for clinical assessments and radiotherapy planning and, thereby, enhances the capabilities of 3D image analysis. However, inherent…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Xia Li , Runzhao Yang , Xiangtai Li , Antony Lomax , Ye Zhang , Joachim Buhmann

This paper formulates an optimal control problem for a system of rigid bodies that are connected by ball joints and immersed in an irrotational and incompressible fluid. The rigid bodies can translate and rotate in three-dimensional space,…

Optimization and Control · Mathematics 2009-09-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

We consider a class of infinite-dimensional singular stochastic control problems. These can be thought of as spatial monotone follower problems and find applications in spatial models of production and climate transition. Let…

Optimization and Control · Mathematics 2026-03-06 Salvatore Federico , Giorgio Ferrari , Frank Riedel , Michael Röckner

An efficient computational approach for optimal reconstruction of binary-type images suitable for models in various applications including biomedical imaging is developed and validated. The methodology includes derivative-free optimization…

Optimization and Control · Mathematics 2022-09-27 Paul R. Arbic , Vladislav Bukshtynov

Purpose: To develop a computationally viable autofocus method for estimating 3D rigid motion in MR imaging. Theory and Methods: The proposed method, REACT, assumes a piecewise-constant motion trajectory and estimates the rigid motion…

Image and Video Processing · Electrical Eng. & Systems 2026-03-25 Kwang Eun Jang , Dwight G. Nishimura

Image retargeting, which resizes images to one with a prescribed aspect ratio by determining an optimal warping map, has gained substantial interest in imaging science. Despite significant advances, existing methods often fail to ensure…

Numerical Analysis · Mathematics 2025-10-16 Chengyang Liu , Michael K. Ng

The aim of this paper is to establish a nonlinear variational approach to the reconstruction of moving density images from indirect dynamic measurements. Our approach is to model the dynamics as a hyperelastic deformation of an initial…

Numerical Analysis · Mathematics 2015-12-01 Martin Burger , Jan Modersitzki , Sebastian Suhr

This paper focuses on the energy-time optimal control of wheeled mobile robots undergoing point-to-point transitions in an obstacles free space. Two interchangeable models are used to arrive at the necessary conditions for optimality. The…

Robotics · Computer Science 2022-06-07 Youngjin Kim , Tarunraj Singh

In many human-in-the-loop robotic applications such as robot-assisted surgery and remote teleoperation, predicting the intended motion of the human operator may be useful for successful implementation of shared control, guidance virtual…

Robotics · Computer Science 2018-03-28 Arun Kumar Singh , Sigal Berman , Ilana Nisky